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82808586 = 23271813631
BaseRepresentation
bin1001110111110…
…00111100001010
312202211010000200
410323320330022
5132144333321
612114513030
72023601310
oct473707412
9182733020
1082808586
114281a353
1223895776
1314204883
14add80b0
15740ad26
hex4ef8f0a

82808586 has 48 divisors (see below), whose sum is σ = 206239488. Its totient is φ = 23522400.

The previous prime is 82808573. The next prime is 82808591. The reversal of 82808586 is 68580828.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20991 + ... + 24621.

It is an arithmetic number, because the mean of its divisors is an integer number (4296656).

Almost surely, 282808586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82808586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103119744).

82808586 is an abundant number, since it is smaller than the sum of its proper divisors (123430902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82808586 is a wasteful number, since it uses less digits than its factorization.

82808586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 82808586 is about 9099.9223073607. The cubic root of 82808586 is about 435.8714831777.

The spelling of 82808586 in words is "eighty-two million, eight hundred eight thousand, five hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 1086 1267 1629 2534 3258 3631 3801 7262 7602 10893 11403 21786 22806 25417 32679 50834 65358 76251 152502 228753 457506 657211 1314422 1971633 3943266 4600477 5914899 9200954 11829798 13801431 27602862 41404293 82808586